Finding the Fourth Proportional to 16,498,700,698,460, 22,767,181,087,264 and 9,090,718,756,862
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Solution
The fourth proportional to 16,498,700,698,460, 22,767,181,087,264 and 9,090,718,756,862 is: 12,544,626,630,519.05
Step by Step Solution
- Step 1: Write the proportion equation
16,498,700,698,460 : 22,767,181,087,264 = 9,090,718,756,862 : x - Step 2: Convert to fraction form
16,498,700,698,460/22,767,181,087,264 = 9,090,718,756,862/x - Step 3: Cross multiply
16,498,700,698,460x = 22,767,181,087,264 × 9,090,718,756,862 - Step 4: Simplify right side
16,498,700,698,460x = 206,970,040,150,864,612,145,758,208 - Step 5: Solve for x
x = 206,970,040,150,864,612,145,758,208/16,498,700,698,460 - Step 6: Final answer
x = 12,544,626,630,519.05
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.